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Article Dans Une Revue Physical Review A : Atomic, molecular, and optical physics [1990-2015] Année : 2004

Quantum computation of the Anderson transition in presence of imperfections

Résumé

We propose a quantum algorithm for simulation of the Anderson transition in disordered lattices and study numerically its sensitivity to static imperfections in a quantum computer. In the vicinity of the critical point the algorithm gives a quadratic speedup in computation of diffusion rate and localization length, comparing to the known classical algorithms. We show that the Anderson transition can be detected on quantum computers with $7 - 10$ qubits.

Dates et versions

hal-00133218 , version 1 (24-02-2007)

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Andrei Pomeransky, Dima Shepelyansky. Quantum computation of the Anderson transition in presence of imperfections. Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2004, 69, pp.014302. ⟨10.1103/PhysRevA.69.014302⟩. ⟨hal-00133218⟩
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